**What are the truth sets of the predicates P(x), Q(x), and R(x), where the domain is the set of integers and 1. P(x) is “|x| = 4,” 2. Q(x) is “x2 = 16,” 3. R(x) is “|x| = x”**

The **Answer to the Question**

is below this banner.

**Here's the Solution to this Question**

P(X) is "|X|=4"

Q(X) is "x^2=16"

R(x) is "|x|=x"

The truth set of predicates are-

In P(X) is |x|=4, Domain is set of integer , Since It is only true for 4,-4. So Truth value is False.

In Q(X) , It is only true for 4,-4 So Truth value is false.

In R(x), |x|=x, It is false , Domain is set of integers.But Range is the set of Positive integres. So Truth value is false.